Information on Result #1747316
Digital (39, 57, 423492)-net over F128, using net defined by OOA based on linear OOA(12857, 423492, F128, 21, 18) (dual of [(423492, 21), 8893275, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12857, 1270477, F128, 3, 18) (dual of [(1270477, 3), 3811374, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12857, 1270479, F128, 3, 18) (dual of [(1270479, 3), 3811380, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12857, 1270479, F128, 18) (dual of [1270479, 1270422, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, 2097175, F128, 18) (dual of [2097175, 2097118, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1285, 23, F128, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(12857, 2097175, F128, 18) (dual of [2097175, 2097118, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12857, 1270479, F128, 18) (dual of [1270479, 1270422, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(12857, 1270479, F128, 3, 18) (dual of [(1270479, 3), 3811380, 19]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.